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Finding the Fourth Proportional to 2,384.47, 3,290.46 and 1,322.22

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Solution

The fourth proportional to 2,384.47, 3,290.46 and 1,322.22 is: 1,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.47 : 3,290.46 = 1,322.22 : x
  2. Step 2: Convert to fraction form
    2,384.47/3,290.46 = 1,322.22/x
  3. Step 3: Cross multiply
    2,384.47x = 3,290.46 × 1,322.22
  4. Step 4: Simplify right side
    2,384.47x = 4,350,719.40
  5. Step 5: Solve for x
    x = 4,350,719.40/2,384.47
  6. Step 6: Final answer
    x = 1,824.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.